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<p>Frequency hopping (FH) communication is widely employed in anti-jamming scenarios due to its robustness against interference. Traditional optimal frequency hopping sequence (FHS) sets optimized for periodic Hamming correlation increasingly struggle to meet the demands of modern communication systems. In contrast, FHS sets characterized by aperiodic Hamming correlation (AHC), low hit zone (LHZ), and frequency-hopping gaps have emerged as critical research targets. This paper establishes novel lower bounds on the AHC of LHZ-FHS sets with gaps, which, to the best of our knowledge, represent the first such theoretical results in the literature.</p>

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Lower bounds on the aperiodic Hamming correlation of low hit zone frequency hopping sequence sets with gaps

  • 期刊论文

  • 发表日期：

    2025年6月25日

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  • Shifu Yang,
  • Zhe Xu,
  • Kaichuang Jiang,
  • Xing Liu

摘要

Frequency hopping (FH) communication is widely employed in anti-jamming scenarios due to its robustness against interference. Traditional optimal frequency hopping sequence (FHS) sets optimized for periodic Hamming correlation increasingly struggle to meet the demands of modern communication systems. In contrast, FHS sets characterized by aperiodic Hamming correlation (AHC), low hit zone (LHZ), and frequency-hopping gaps have emerged as critical research targets. This paper establishes novel lower bounds on the AHC of LHZ-FHS sets with gaps, which, to the best of our knowledge, represent the first such theoretical results in the literature.